Finding the Third Proportional to 49,648.50 and 106,404

Step by Step Solution

1. Step 1: Write the proportion equation
   49,648.50 : 106,404 = 106,404 : x
2. Step 2: Convert to fraction form
   49,648.50/106,404 = 106,404/x
3. Step 3: Cross multiply
   49,648.50x = 106,404 × 106,404
4. Step 4: Simplify right side
   49,648.50x = 11,321,811,216
5. Step 5: Solve for x
   x = 11,321,811,216/49,648.50
6. Step 6: Final answer
   x = 228,039.34